Terminating and Recurring Decimals

Q.

$-\frac{5}{7}$ is a rational number.

1. False

2. True

Q.

Find LCM of following decimals

0.6, 0.7, and 0.5.

1. 210

2. 21

3. 2.1

4. 31

Q. What happens
(i) if a symbol of smaller value is written to the right of a symbol of greater value?
(ii) if a symbol of smaller value is written to the left to the left of a symbol of greater value?
Explain with the help of examples. [4 MARKS]

Q.

Express $\frac{1}{9}$ as a repeating decimal, using a bar to indicate the repeating digits.

What are the decimal representations of $\frac{2}{9},\frac{3}{9},\frac{8}{9},\frac{9}{9}$?

Q.

Find HCF of following decimals

0.4, 0.6.

1. 0.4

2. 0.2

3. 0.5

4. 0.6

Q.

Out of the given fractions, which one will result in a terminating decimal?

1. $\frac{25}{44}$

2. $\frac{20}{60}$

3. $\frac{5}{12}$

4. $\frac{13}{104}$

Q. Write each of the following as decimals:
$\frac{5}{10}$

Q.

Which of the following fractions will give non-terminating decimal on conversion?

1. 5.65 kg

2. 5.75 kg

3. 5.85 kg

4. 5.95 kg

Q.

Out of the following fractions, which one will result as the highest non-terminating decimal :

$\frac{3}{9}$ , $\frac{27}{81}$, $\frac{243}{729}$, $\frac{14}{42}$

1. $\frac{27}{81}$

2. $\frac{243}{729}$

3. $\frac{14}{42}$

4. All will be same

Q.

Which of the following is a non - terminating decimal :

1. $\frac{2}{11}$

2. $\frac{2}{40}$

3. $\frac{3}{150}$

4. $\frac{18}{120}$

Q.

Jack could not understand the difference between these two numbers. What is the correct explanation for him?

1. A is recurring decimal.

2. B is recurring decimal.

3. Both A and B are terminating decimal.

4. Cannot say anything about the numbers.

Q. Identify the decimal and whole number from the following.
$1.21$

Q.

What is the significance of the line in the decimal number $23.534\overline{1717}$?

1. No significance.

2. To show that the next value to 1717 is 1818

3. To show that the number cannot be represented as a fraction

4. To show that 1717 is the repeating terms of the decimal part

Q. Write each of the following as decimals:
$4\frac{2}{10}$

Q.

61.74 $÷$ 14 is a terminating decimal.

1. True

2. False

Q. Write each of the following decimals in words.
$5.008$

Q. Write each of the following as decimals : Six hundred point eight.

Q. Find the value of:
$9.756-6.28$

Q. Write each of the following decimals in words.
$1.20$

Q.

31.764 $÷$ 4 is a :

1. Recurring decimal

2. Non - terminating decimal

3. Terminating decimal

4. None of these

Q. Identify the decimal and whole number from the following
$2253.106$

Q.

Which among the following is a terminating decimal :

1. $\frac{2}{18}$

2. $\frac{14}{6}$

3. $\frac{5}{3}$

4. $\frac{11}{5}$

Q. Write the decimal number represented by the points $A,B,C,D$ on the given number line.

Q.

Which of the following fractions is a recurring and non-terminating decimal?

1. $\frac{24}{64}$

2. $\frac{22}{32}$

3. $\frac{83}{25}$

4. $\frac{28}{9}$

Q. In each of the following pairs of decimal numbers, state which number is smaller:
$37.701,37.71$

Q. Write the decimal:
$200+60+5+\frac{1}{10}$

Q. Write each of the following as decimals -
$70+8/10$

Q. Write each of the following as decimals:
$\frac{3}{2}$

Q. Write each of the following as decimals : One hundred and two ones.

Q. Identify the decimal and whole number from the following.
$98101.291$